factorise x⁸-1
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Answer:
(x⁴+1) (x²+1) (x+1) (x-1)
Step-by-step explanation:
x⁸-1=(x⁴)²-(1)²
=(x⁴+1) [(x²)²-(1)²]
=(x⁴+1) (x²+1) (x²-1)
=(x⁴+1) (x²+1) (x²-1²)
=(x⁴+1) (x²+1) (x+1) (x-1)
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